On linear differential equations involving a para-grassmann variable

Toufik Mansour; Matthias Schork

doi:10.3842/SIGMA.2009.073

On linear differential equations involving a para-grassmann variable

Toufik Mansour, Matthias Schork

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

As a first step towards a theory of differential equations involving para- Grassmann variables the linear equations with constant coefficients are discussed and solutions for equations of low order are given explicitly. A connection to n-generalized Fibonacci numbers is established. Several other classes of differential equations (systems of first order, equations with variable coefficients, nonlinear equations) are also considered and the analogies or differences to the usual ("bosonic") differential equations discussed.

Original language	English
Article number	073
Journal	Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
Volume	5
DOIs	https://doi.org/10.3842/SIGMA.2009.073
State	Published - 2009

Keywords

Linear differential equations
Para-grassmann variables

ASJC Scopus subject areas

Analysis
Mathematical Physics
Geometry and Topology

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10.3842/SIGMA.2009.073

Cite this

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On linear differential equations involving a para-grassmann variable

Abstract

Keywords

ASJC Scopus subject areas

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